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Finding the Third Proportional to 612,098 and 1,312,740

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Solution

The third proportional to 612,098 and 1,312,740 is: 2,815,376.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,098 : 1,312,740 = 1,312,740 : x
  2. Step 2: Convert to fraction form
    612,098/1,312,740 = 1,312,740/x
  3. Step 3: Cross multiply
    612,098x = 1,312,740 × 1,312,740
  4. Step 4: Simplify right side
    612,098x = 1,723,286,307,600
  5. Step 5: Solve for x
    x = 1,723,286,307,600/612,098
  6. Step 6: Final answer
    x = 2,815,376.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.